4x(x-4)=33

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Solution for 4x(x-4)=33 equation:


Simplifying
4x(x + -4) = 33

Reorder the terms:
4x(-4 + x) = 33
(-4 * 4x + x * 4x) = 33
(-16x + 4x2) = 33

Solving
-16x + 4x2 = 33

Solving for variable 'x'.

Reorder the terms:
-33 + -16x + 4x2 = 33 + -33

Combine like terms: 33 + -33 = 0
-33 + -16x + 4x2 = 0

Factor a trinomial.
(-3 + -2x)(11 + -2x) = 0

Subproblem 1

Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5

Subproblem 2

Set the factor '(11 + -2x)' equal to zero and attempt to solve: Simplifying 11 + -2x = 0 Solving 11 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 0 + -11 -2x = 0 + -11 Combine like terms: 0 + -11 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5

Solution

x = {-1.5, 5.5}

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